Percentage as Fraction

Hello dear students, how are you? I hope you are fine. Today we bring another topic on percentage that is percentage as fraction. In this post post you will learn how to convert percentage into fraction, and its example will also be solved for your easiness in order to better understand the concept. But if you do not know what is percentage and where to use it why do we use percentage, then you must read our previous post.

How to Percentage as Fraction

To write a percentage as a fraction, divide the percentage value by 100 and divide the result into its simplest form then remove the percentage (%) symbol. As given in examples below:

50% = 50/100 = 5/10 = ½

20% = 20/100 = 2/10 = 1/5

30% = 30/100 = 3/10

How to Convert percentage into Fraction

Following are the step by step rules to convert percentage into fraction:

1. To get a decimal figure, divide the percentage by 100.
2. Use that value as the fraction’s numerator (top). Put a 1 in the fraction’s denominator (bottom).
3. To convert a decimal to a whole number, use the following formula: Count the number of places to the right of the decimal point. If the numerator and denominator both have x decimal places, multiply the numerator and denominator by 10x.
4. Reduce the fraction: Find the numerator and denominator’s Greatest Common Factor (GCF) and divide the numerator and denominator by the GCF.
5. If possible, convert the remaining fraction to a mixed number fraction.

Example Problem: Convert 45.5% into Fraction

Solution:

Now we solve it as per step by step rules mentioned above.

1. divide 45.5% by 100. =  45.5\100 = 0.455
2. Rewrite the decimal numbere as fraction (over 1).  = 0.455\1
3. Multiply denominator and numerator by 1000 to remove decimal points. = 0.455\1 x 1000\1000 = 455\1000
4. Now find the greatest common factor (GCF) of the 455 and 1000. = 455\5 = 91 and 1000\5 = 200

In step 4, we divide 455 and 1000 by 5 (as 5 is its greatest common factor)

Finally our answer is 45.5% is equal to 91/200. (you can more simplify, if it is possible).

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